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Solve 6x + 14 = 122

The solution of 6x + 14 = 122 is x = 18.

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The lines y = 6x + 14 and y = 122 meet at x = 18121416182022248090100110120130140150160x = 18y = 6x + 14y = 122
The lines y = 6x + 14 and y = 122 meet at x = 18. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    6x+14=1226x + 14 = 122
  2. 2

    Subtract 14 from both sides:

    6x+14−14=122−14 ⇒ 6x=1086x + 14 - 14 = 122 - 14 \ \Rightarrow\ 6x = 108
  3. 3

    Divide both sides by 6:

    6x6=1086 ⇒ x=18\frac{6x}{6} = \frac{108}{6} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    6⋅18+14=108+14=122✓6\cdot18 + 14 = 108 + 14 = 122 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 14 = 122\ \Rightarrow\ x = 18 \]
\[ 6x + 14 = 122 \]
\[ 6x + 14 - 14 = 122 - 14 \ \Rightarrow\ 6x = 108 \]
\[ \frac{6x}{6} = \frac{108}{6} \ \Rightarrow\ x = 18 \]
\[ 6\cdot18 + 14 = 108 + 14 = 122 \checkmark \]

Trying values of x in 6x + 14 = 122

x6x + 14Equals 122?
16110no
17116no
18122yes
19128no
20134no

Questions

What is x in 6x + 14 = 122?

The solution of 6x + 14 = 122 is x = 18.

How do you solve 6x + 14 = 122?

Subtract 14 from both sides to get 6x = 108, then divide both sides by 6 to get x = 18.

How do I check the answer?

Replace x by 18: 6(18) + 14 = 122, which is 122.

Similar equations

    Solve 6x + 14 = 122: x = 18 (steps and check) | WordGPT